If the system of equations 2 x+3 y-z=5 x+\alpha y+3 z=-4 3 x-y+\beta z=7 has infinitely many solutions, then 13 \alpha \beta is equal to [1-Feb-2024 Shift 1]

JEE Main 1-Feb-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 12 of 90

Marks: +1, -0

If the system of equations
2x+3y−z=5
x+αy+3z=−4
3x−y+βz=7
has infinitely many solutions, then 13αβ is equal to

[1-Feb-2024 Shift 1]

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